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Finding the Fourth Proportional to 428,290.76, 642,412.43 and 143,951.87

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Solution

The fourth proportional to 428,290.76, 642,412.43 and 143,951.87 is: 215,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,290.76 : 642,412.43 = 143,951.87 : x
  2. Step 2: Convert to fraction form
    428,290.76/642,412.43 = 143,951.87/x
  3. Step 3: Cross multiply
    428,290.76x = 642,412.43 × 143,951.87
  4. Step 4: Simplify right side
    428,290.76x = 92,476,471,496.02
  5. Step 5: Solve for x
    x = 92,476,471,496.02/428,290.76
  6. Step 6: Final answer
    x = 215,919.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.